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Journal of Computational and Engineering Mathematics, 2021, Volume 8, Issue 3, Pages 3–13
DOI: https://doi.org/10.14529/jcem210301 (Mi jcem194) 		 
Engineering Mathematics

Stabilization of a system with linear delay

B. G. Grebenshchikova, A. B. Lozhnikovab

a Ural Federal University, Ekaterinburg, Russian Federation
b N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (263 kB)
DOI: https://doi.org/10.14529/jcem210301
Abstract: The problem of stabilization of a linear system of differential equations with constant delay containing fast and slow variables is considered. The systems of this kind can be obtained from the systems with linear delay by replacing an argument. An algorithm for stabilizing this system with delay is proposed and implemented using Matlab application software package.
Keywords: asymptotic stability, linear delay, stabilization.
Received: 15.08.2021
Document Type: Article
UDC: 519.6
Language: English
Citation: B. G. Grebenshchikov, A. B. Lozhnikov, “Stabilization of a system with linear delay”, J. Comp. Eng. Math., 8:3 (2021), 3–13
Citation in format AMSBIB
\Bibitem{GreLoz21}
\by B.~G.~Grebenshchikov, A.~B.~Lozhnikov
\paper Stabilization of a system with linear delay
\jour J. Comp. Eng. Math.
\yr 2021
\vol 8
\issue 3
\pages 3--13
\mathnet{http://mi.mathnet.ru/jcem194}
\crossref{https://doi.org/10.14529/jcem210301}
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